In this paper the
relationships between p-spaces and wΔ− spaces are investigated. It is shown that
strict p-spaces, p-spaces, and wΔ-spaces are all equivalent in the class of completely
regular 𝜃-refinable spaces. There is an example of a completely regular, countably
compact space (and thus a wΔ-space) which is not a p-space. An example is given of
a T2 locally compact space (and thus a p-space) which is not a wΔ-space. In
the last section we give some conditions for p-spaces or wΔ-spaces to be
developable.
